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Simplifying 15v2 = 48 + -48v Solving 15v2 = 48 + -48v Solving for variable 'v'. Reorder the terms: -48 + 48v + 15v2 = 48 + -48v + -48 + 48v Reorder the terms: -48 + 48v + 15v2 = 48 + -48 + -48v + 48v Combine like terms: 48 + -48 = 0 -48 + 48v + 15v2 = 0 + -48v + 48v -48 + 48v + 15v2 = -48v + 48v Combine like terms: -48v + 48v = 0 -48 + 48v + 15v2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-16 + 16v + 5v2) = 0 Factor a trinomial. 3((-4 + -1v)(4 + -5v)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -1v)' equal to zero and attempt to solve: Simplifying -4 + -1v = 0 Solving -4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 0 + 4 -1v = 0 + 4 Combine like terms: 0 + 4 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4Subproblem 2
Set the factor '(4 + -5v)' equal to zero and attempt to solve: Simplifying 4 + -5v = 0 Solving 4 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 0 + -4 -5v = 0 + -4 Combine like terms: 0 + -4 = -4 -5v = -4 Divide each side by '-5'. v = 0.8 Simplifying v = 0.8Solution
v = {-4, 0.8}
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